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Finding the Fourth Proportional to 575.92, 863.17 and 267.36

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Solution

The fourth proportional to 575.92, 863.17 and 267.36 is: 400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.92 : 863.17 = 267.36 : x
  2. Step 2: Convert to fraction form
    575.92/863.17 = 267.36/x
  3. Step 3: Cross multiply
    575.92x = 863.17 × 267.36
  4. Step 4: Simplify right side
    575.92x = 230,777.13
  5. Step 5: Solve for x
    x = 230,777.13/575.92
  6. Step 6: Final answer
    x = 400.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.